Search a number
-
+
342125532 = 2237737151
BaseRepresentation
bin10100011001000…
…110101111011100
3212211202210000000
4110121012233130
51200041004112
653540534300
711323006350
oct2431065734
9784683000
10342125532
11166136a81
12966b1390
1355b59c58
143361b460
15200807dc
hex14646bdc

342125532 has 192 divisors, whose sum is σ = 1060935680. Its totient is φ = 94478400.

The previous prime is 342125519. The next prime is 342125573. The reversal of 342125532 is 235521243.

It is a happy number.

342125532 is a `hidden beast` number, since 3 + 4 + 2 + 125 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (7200) is a multiple of the sum of its prime divisors (200).

It is a junction number, because it is equal to n+sod(n) for n = 342125496 and 342125505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2265657 + ... + 2265807.

Almost surely, 2342125532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342125532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530467840).

342125532 is an abundant number, since it is smaller than the sum of its proper divisors (718810148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

342125532 is a wasteful number, since it uses less digits than its factorization.

342125532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 342125532 is about 18496.6356940931. The cubic root of 342125532 is about 699.4046175527.

Adding to 342125532 its reverse (235521243), we get a palindrome (577646775).

The spelling of 342125532 in words is "three hundred forty-two million, one hundred twenty-five thousand, five hundred thirty-two".